Characteristic classes of real manifolds immersed in complex manifolds
Characteristic classes of real manifolds immersed in complex manifolds
复制标题
浸入复流形中的实流形的特征类
DOI：
--
复制
发表时间：
1972
期刊：
影响因子：
--
通讯作者：
Hon
中科院分区：
文献类型：
--
作者：
Hon
设M为紧致可定向的k维实可微流形，N为N维复流形，其中k为b> N。给定浸入式t: M—N，如果t(M)在L(x)处的切空间包含一个维数为>k—N的复子空间，则点xem称为浸入式的rc -奇点。本文研究浸入式的rc -奇点集的上同调性质。当k = 2n - 2时，可得：
Let M be a compact, orientable, k-dimensional real differentia- able manifold and N an n-dimensional complex manifold, where k > n. Given an immersion t: M -- N, a point x E M is called an RC-singular point of the immersion if the tangent space to t(M) at L(x) contains a complex subspace of dimension > k - n. This paper is devoted to the study of the cohomological properties of the set of RC-singular points of an immersion. When k = 2n - 2, the following formula is obtained: